Using the definition of derivative evaluate the following lim 1/h *( 1/(1+h)^2 - 1) h>0
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Originally Posted by RyGuy Using the definition of derivative evaluate the following lim 1/h *( 1/(1+h)^2 - 1) h>0 the function is $\displaystyle f(x) = \frac{1}{x^2}$ the limit is $\displaystyle f'(1)$
Is... $\displaystyle \lim_{h \rightarrow 0} \frac{\frac{1}{(1+h)^{2}}-1}{h} = \frac{d}{dx} \frac{1}{(1+x)^{2}}_{x=0}= -\frac{2}{(1+x)^{3}}_{x=0} = -2 $ (1) Kind regards $\displaystyle \chi$ $\displaystyle \sigma$
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